+0  
 
0
109
1
avatar

Hi!

So I was doing an assignment and out of nowhere a question turned up that connfused me a bit.

The question is: Name 3 different ways to calculate the triangles area. The triangle is an perpendicular triangle. (A triangle with one corner that is 90 degrees)

 

The obvious one is of course B*H/2

 

The second one I'm thinking of is (a*b*sinC)/2 but I'm unsure if that one works on perpendicular triangles.

 

The third one I have no clue about. Anyone got any idea? =)

Guest Jun 8, 2017
Sort: 

1+0 Answers

 #1
avatar+77149 
+1

 

Let  sides  a,b  be the legs  and c the hypotenuse

 

Three possibilities

 

1st  way  =   product of the legs / 2

 

2nd way =    (1/2) (a)(c)sin B    

Where B is the included angle between sides a and c

Also.....     (1/2) (b) (c) sin A    would work, too

 

3rd  way.....something known as "Heron's" Formula

 

The area, A, is given by

 

√ [  s (s - a) (s - b) ( s - c) ]  

 

Where  s  = the semi-perimeter =   [ a + b + c ] / 2

 

 

 

cool cool cool

CPhill  Jun 8, 2017

6 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details